Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals
Biscari, Paolo ; Turzi, Stefano
Bollettino dell'Unione Matematica Italiana, Tome 5 (2012), p. 81-91 / Harvested from Biblioteca Digitale Italiana di Matematica
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This paper deals with the detailed structure of the order-parameter field both close and far from a moving singularity in nematic liquid crystals. We put forward asymptotic expansions that allow to extract from the exact solution the necessary analytical details, at any prescribed order. We also present a simple uniform approximation, which captures the qualitative features of the exact solution in all the domain. This paper is dedicated to the memory of Carlo Cercignani, a master who will be never praised enough for both his scientific achievements and the way he taught how research is to be conducted.

Publié le : 2012-02-01
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     author = {Paolo Biscari and Stefano Turzi},
     title = {Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {5},
     year = {2012},
     pages = {81-91},
     zbl = {1260.82082},
     mrnumber = {2919649},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2012_9_5_1_81_0}
}

Biscari, Paolo; Turzi, Stefano. Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals. Bollettino dell'Unione Matematica Italiana, Tome 5 (2012) pp. 81-91. http://gdmltest.u-ga.fr/item/BUMI_2012_9_5_1_81_0/

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